Finding the Third Proportional to 235,778,669,332 and 512,868,201,272
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Solution
The third proportional to 235,778,669,332 and 512,868,201,272 is: 1,115,596,218,356.80
Step by Step Solution
- Step 1: Write the proportion equation
235,778,669,332 : 512,868,201,272 = 512,868,201,272 : x - Step 2: Convert to fraction form
235,778,669,332/512,868,201,272 = 512,868,201,272/x - Step 3: Cross multiply
235,778,669,332x = 512,868,201,272 × 512,868,201,272 - Step 4: Simplify right side
235,778,669,332x = 263,033,791,875,976,706,129,920 - Step 5: Solve for x
x = 263,033,791,875,976,706,129,920/235,778,669,332 - Step 6: Final answer
x = 1,115,596,218,356.80
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.